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Finding the Fourth Proportional to 32,146.38, 48,227.28 and 13,416

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Solution

The fourth proportional to 32,146.38, 48,227.28 and 13,416 is: 20,127.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,146.38 : 48,227.28 = 13,416 : x
  2. Step 2: Convert to fraction form
    32,146.38/48,227.28 = 13,416/x
  3. Step 3: Cross multiply
    32,146.38x = 48,227.28 × 13,416
  4. Step 4: Simplify right side
    32,146.38x = 647,017,188.48
  5. Step 5: Solve for x
    x = 647,017,188.48/32,146.38
  6. Step 6: Final answer
    x = 20,127.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.